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Finding the Third Proportional to 41,630 and 89,208

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Solution

The third proportional to 41,630 and 89,208 is: 191,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,630 : 89,208 = 89,208 : x
  2. Step 2: Convert to fraction form
    41,630/89,208 = 89,208/x
  3. Step 3: Cross multiply
    41,630x = 89,208 × 89,208
  4. Step 4: Simplify right side
    41,630x = 7,958,067,264
  5. Step 5: Solve for x
    x = 7,958,067,264/41,630
  6. Step 6: Final answer
    x = 191,161.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.